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Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
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  1.    wt: 7:   12 Webvideo Lessons on Area and Volume Calculation/
  2.    wt: 6:   5 Lessons on Integration/
  3.    wt: 6:   4 Lessons on Using Derivatives/
  4.    wt: 6:   38 Lessons on Calculating Derivatives/
  5.    wt: 6:   13 Lessons on Limits and Continuity/
  6.    wt: 4:   6 Trigonometry first steps/
  7.    wt: 4:   A Origins of Counting and Figuring Methods/
  8.    wt: 4:   10 Examples of Algebraic Reasoning/
  9.    wt: 4:   6 More Less Greater Than Inequalities and Comparison/
  10.    wt: 4:   Step 4 Gaussian Elimination/
  11.    wt: 4:   Step 3 Easy systems in 2 or more unknowns/
  12.    wt: 4:   Step 2 Algebraic solutions for one unknown/
  13.    wt: 4:   Step 1 Stick diagram and fractions/
  14.    wt: 4:   70 Calculus Starter Lessons/
  15.    wt: 3:   Volume 1A Regles et modeles/
  16.    wt: 3:   Mathematics Skills Year by Year/
  17.    wt: 3:   B Real Numbers Extrinsic Development/
  18.    wt: 3:   9 Proportionality Backwards and Forwards/
  19.    wt: 3:   8 Unifying Theme For Algebra/
  20.    wt: 3:   7 Axioms Logic and Equivalent Equations/
  21.    wt: 3:   5 Real Numbers/
  22.    wt: 3:   4 Computation Rules and Function Notation/
  23.    wt: 3:   3 Solving Linear Equations/
  24.    wt: 3:   2 Formula Forward Use Evaluation/
  25.    wt: 3:   1 Working With Sets/
  26.    wt: 3:   6 Fractions and Ratios/
  27.    wt: 3:   Time Date Matters/
  28.    wt: 3:   Volume 3 Why Slopes A Calculus Intro Etc/
  29.    wt: 3:   Mathematics 506 Lessons/
  30.    wt: 2:   Direct Current Electric Circuits/
  31.    wt: 2:   Parent Center/
  32.    wt: 2:   5 Factored Polynomial Sign Analysis Examples/
  33.    wt: 2:   15 Arc or Inverse Trigonometric Function/
  34.    wt: 2:   14 Degrees to Radians and Radians to Degrees/
  35.    wt: 2:   13 Vectors/
  36.    wt: 2:   12 Function Translating and Rescaling/
  37.    wt: 2:   11 Parallel Straight Lines and Transversals/
  38.    wt: 2:   10 Intersecting Straight Lines and Transversals/
  39.    wt: 2:   9 Lines and Slopes Take 2 with tangent function/
  40.    wt: 2:   8 Unit Circle Trigonometry/
  41.    wt: 2:   7 Complex Numbers/
  42.    wt: 2:   5 What is Similarity/
  43.    wt: 2:   4 Lines and Slopes Take 1/
  44.    wt: 2:   3 Cartesian and Polar Coordinates/
  45.    wt: 2:   2 Euclidean Geometry Constructions Theory extras/
  46.    wt: 2:   1 Maps Plans Measurement/
  47.    wt: 2:   Algebra Starter Lessons/
  48.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  49.    wt: 2:   D Decimal Long Division Methods/
  50.    wt: 2:   C Decimal Multiplication Methods/
  51.    wt: 2:   B Decimal Comparing and Subtracting Methods/
  52.    wt: 2:   A Decimal Counting and Adding Methods/
  53.    wt: 2:   Advanced Calculus Volume 3 Appendices/
  54.    wt: 2:   Volume 1 Elements of Reason/
  55.    wt: 1:   LAMP Lean Applied Mathematics Program/
  56.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  57.    wt: 1:   Mathematics Education Essays/
  58.    wt: 1:   Archives/
  59.    wt: 1:   francais/
  60.    wt: 1:   4 Functions/
  61.    wt: 1:   3 Quadratics Geometrically/
  62.    wt: 1:   2 Natural Logarithms Exponentials Powers Roots/
  63.    wt: 1:   1 Five Polynomial Operations/
  64.    wt: 1:   Geometry maps plans trigonometry vectors/
  65.    wt: 1:   11 Squares and Square Roots/
  66.    wt: 1:   9 Combinatorics Trees Tables and Products/
  67.    wt: 1:   8 Arithmetic with Signed Numbers/
  68.    wt: 1:   7 Arithmetic and Fractions with Units/
  69.    wt: 1:   5 Integers/
  70.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  71.    wt: 1:   3 Prime Factorization Skills/
  72.    wt: 1:   2 Arithmetic with Decimals/
  73.    wt: 1:   1 Decimal Place Value/
  74.    wt: 1:   Skills with take home value/
  75.    wt: 1:   Volume 2 Three Skills For Algebra/
  76.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  77.    wt: 1:   Volume 1A Pattern Based Reason/
  78.    wt: 1:   Work and Study Tips/
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  80.    wt: 1:   Secondary Mathematics A Practical Approach/
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351 matches:

  1.    wt: 4:   Example 1 volume of a pyramid
  2.    wt: 4:   Volume of Solid by Cross Sections Lesson
  3.    wt: 3:   6 Intersection of lines by solving linear systems
  4.    wt: 3:   10 Volume of Pyramid
  5.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  6.    wt: 3:   27 Divisibility by 2 3 6 5 9 10 Example
  7.    wt: 3:   26 Divisibility by 2 3 5 Example
  8.    wt: 3:   Example 2 volume of a cone
  9.    wt: 3:   16 Derivatives of reciprocals of sine and cosine
  10.    wt: 2:   chapitre 06 00 Chaines de la raison
  11.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
  12.    wt: 2:   6 Graph of arccos function
  13.    wt: 2:   4 Resultant of a Sum of Movements
  14.    wt: 2:   27 Logarithmic use of products of sines and cosines
  15.    wt: 2:   26 Formulas for products of sines and cosines
  16.    wt: 2:   6 Field Properties of Complex Number
  17.    wt: 2:   5 An Easy Proof of the Distributive Law
  18.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  19.    wt: 2:   10 Similarity of Triangles Equivalent of Two Criteria
  20.    wt: 2:   16 Angles Subtended By Chords and Diameters
  21.    wt: 2:   21 Addition of Multiples of a Single Vector
  22.    wt: 2:   6 Algebraic Solution Example
  23.    wt: 2:   6 Three Examples
  24.    wt: 2:   11 Volume of Sphere
  25.    wt: 2:   9 Volume of Cone
  26.    wt: 2:   6 Pythagorean Hypotenuse Calculation Example
  27.    wt: 2:   5 Box Volume Formula Example
  28.    wt: 2:   6 Three Notions of What is a Variable
  29.    wt: 2:   3 Properties of Square Roots with example
  30.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  31.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  32.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  33.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  34.    wt: 2:   6 Simplification of Fractions with Units
  35.    wt: 2:   6 Multiplication of Mixed Numbers
  36.    wt: 2:   6 Multiplication by Natural Numbers
  37.    wt: 2:   16 Remainder Arithmetic Modulo 9 Example 2
  38.    wt: 2:   16 video Factors of 980 using prime
  39.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  40.    wt: 2:   6 Subtraction with Conversion Example with Exercises
  41.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  42.    wt: 2:   012 Division of Time Intervals by Time Intervals
  43.    wt: 2:   011 Division of Time Intervals By Numbers
  44.    wt: 2:   Example 4 with x function of y
  45.    wt: 2:   A Related lessons in Volume 3
  46.    wt: 2:   17 Derivatives of quotients of sine and cosine
  47.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  48.    wt: 2:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  49.    wt: 2:   Chapter 6 Change of Language
  50.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  51.    wt: 2:   Chapter 6 Chains of Reason
  52.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  53.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  54.    wt: 2:   Chapter 3 Algebra Starter Lessons
  55.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  56.    wt: 1:   Skills Chapter 5 Calculus
  57.    wt: 1:   6 polynomials etc
  58.    wt: 1:   Applied Maths Program14092009 POMME variant
  59.    wt: 1:   Mathematics Education Professors
  60.    wt: 1:   Postscript 2007 01 10
  61.    wt: 1:   Theory of Knowledge
  62.    wt: 1:   Different Kinds of Reasoning in maths
  63.    wt: 1:   three kinds of reason in mathematics
  64.    wt: 1:   chapitre 12 00 les iles et division
  65.    wt: 1:   chapitre 07 00 Des chaines plus longues de la raison
  66.    wt: 1:   chapitre 05 00 Deception
  67.    wt: 1:   chapitre 04 06 engagements
  68.    wt: 1:   chapitre 04 00 Les regles d implication
  69.    wt: 1:   chapitre 02 00 La Communication des idees
  70.    wt: 1:   chapitre 01 00 Introduction
  71.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  72.    wt: 1:   1 Energy Power Heat06
  73.    wt: 1:   E Kirchoffs Second Law
  74.    wt: 1:   D Kirchoff First Law
  75.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  76.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  77.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  78.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  79.    wt: 1:   16 Secondary Mathematics Tips
  80.    wt: 1:   9 Streaming by Student Cooperation
  81.    wt: 1:   8 The Effect of Negative Remarks
  82.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  83.    wt: 1:   Ages 6 to 7
  84.    wt: 1:   sign monoticity analysis example 4
  85.    wt: 1:   sign monoticity analysis example 3
  86.    wt: 1:   sign monoticity analysis example 2
  87.    wt: 1:   sign monoticity analysis example 1
  88.    wt: 1:   26 Function definitions done and coming
  89.    wt: 1:   16 Increasing or decreasing on intervals
  90.    wt: 1:   15 Sign analysis of functions
  91.    wt: 1:   8 Set view of relations and functions
  92.    wt: 1:   6 Set Existence Formation and Notation
  93.    wt: 1:   2 Algebraic use of function notation
  94.    wt: 1:   1 Geometric Introduction of Function Notation
  95.    wt: 1:   8 quadratics backward use of various formulas
  96.    wt: 1:   6 quadratics numerical approach
  97.    wt: 1:   4 quadratics difference of two squares
  98.    wt: 1:   3 quadratics factoring by inspection
  99.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  100.    wt: 1:   1 Calculator Starter Exercises
  101.    wt: 1:   7 Links Lessons Elsewhere
  102.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  103.    wt: 1:   16 cotangent function Definition Graph and Inverse
  104.    wt: 1:   11 arctan left inverse of tangent Graph
  105.    wt: 1:   10 arctan left inverse of tangent Definition
  106.    wt: 1:   8 arcsin left inverse of sine Graph
  107.    wt: 1:   7 arcsin left inverse of sine Definition
  108.    wt: 1:   3 Left Inverse of cosine arccos definition
  109.    wt: 1:   8 Radian Measures of Common Angles
  110.    wt: 1:   6 Radian Measure to Degrees
  111.    wt: 1:   2 Radian Measure Numerical Value of one degree
  112.    wt: 1:   6 Vectors with Coordinates
  113.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  114.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  115.    wt: 1:   Straight Lines Intersection of
  116.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  117.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  118.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  119.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  120.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  121.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  122.    wt: 1:   32 seven rows of pascals triangle
  123.    wt: 1:   30 unit circle calculation of six trigonometric functions
  124.    wt: 1:   28 Expressing products of sines cosines as sums
  125.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  126.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  127.    wt: 1:   18 sum of sinusoidal waves as a single wave
  128.    wt: 1:   17F Law of cosines
  129.    wt: 1:   16 Right Triangle Complementary Angle Relations
  130.    wt: 1:   13 Graph of tangent function many periods
  131.    wt: 1:   12 Graph of tangent function for one period
  132.    wt: 1:   10 Graphs of sines and cosines many periods
  133.    wt: 1:   9 Graphs of sine and cosine over one period
  134.    wt: 1:   8 period of tangent function
  135.    wt: 1:   7 period of sine and cosine
  136.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  137.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  138.    wt: 1:   Unit Circle Development of Trigonometry
  139.    wt: 1:   20 N th Roots of Complex Numbers
  140.    wt: 1:   19 N th Roots of Unity
  141.    wt: 1:   18 Sixth Roots of Unity
  142.    wt: 1:   17 Cube Roots of unity
  143.    wt: 1:   16 References and Originality Question
  144.    wt: 1:   14 Law of cosines
  145.    wt: 1:   8 Unit Circle Development of Trigonometry
  146.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  147.    wt: 1:   9 Similarity of Triangles Usual Criteria
  148.    wt: 1:   8 Similarity of Triangles and Polygons
  149.    wt: 1:   6 Geometric Diagrams in Class
  150.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  151.    wt: 1:   3 Similarity by Design with coordinates
  152.    wt: 1:   2 Similarity By Design
  153.    wt: 1:   1 Early Concept of Like or Similar Shapes
  154.    wt: 1:   12 Links Lessons elsewhere
  155.    wt: 1:   10 Midpoint of [a b] and [b a]
  156.    wt: 1:   5 Algebraic View of Slopes
  157.    wt: 1:   1 Numerical view of lines and their equations
  158.    wt: 1:   10 Pythagorean plane distance formula
  159.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  160.    wt: 1:   6 Polar Multiplication and Rotation
  161.    wt: 1:   17 Right Bisectors of Triangle Sides
  162.    wt: 1:   9 Construction of a right bisector
  163.    wt: 1:   6 Ruler and compass Angle Bisection
  164.    wt: 1:   3 Isometry of Triangles Congruence
  165.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  166.    wt: 1:   6 Figuring with Maps Not to Scale
  167.    wt: 1:   26 More Less Greater Than Comparison
  168.    wt: 1:   22 Multiplication of Signed Numbers
  169.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  170.    wt: 1:   19 Signed Multiples of Vectors
  171.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  172.    wt: 1:   13 Arrows and Vectors in a Plane
  173.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  174.    wt: 1:   8 Division and Mulplication of Compound Fractions
  175.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  176.    wt: 1:   4 Location of Point in Decimal Addition
  177.    wt: 1:   3 Location of Point in Decimal Multiplication
  178.    wt: 1:   7 Decimals Multiplication Methods Examples
  179.    wt: 1:   6 Column Methods for Decimal Multiplication
  180.    wt: 1:   1 The Counting Origins of Numbers
  181.    wt: 1:   5 Areas of Rectangles Revisited
  182.    wt: 1:   3 Proportionality Examples
  183.    wt: 1:   7 Pythagorean Theorem Chinese Square Proof
  184.    wt: 1:   6 Compound Interest Forward and Backwards
  185.    wt: 1:   6 Equations and Systems Equivalent or Implied
  186.    wt: 1:   4 Comparison of Negative Numbers
  187.    wt: 1:   16 Real Numbers Comparison
  188.    wt: 1:   8 Coordinates for Maps and Planes
  189.    wt: 1:   6 Unsigned Real Numbers
  190.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  191.    wt: 1:   4 GE III Animated Examples
  192.    wt: 1:   3 Gaussian Elimination 3 unknowns first example
  193.    wt: 1:   1 GE Substitution four examples
  194.    wt: 1:   3 Solving triangular system example
  195.    wt: 1:   4 Four Examples Fractional Coefficients
  196.    wt: 1:   3 Four Examples
  197.    wt: 1:   2 Three Examples
  198.    wt: 1:   10 One Example
  199.    wt: 1:   9 Three Examples
  200.    wt: 1:   8 One Example
  201.    wt: 1:   7 Two Examples
  202.    wt: 1:   5 Three Examples
  203.    wt: 1:   4 Two Examples
  204.    wt: 1:   3 Two Examples
  205.    wt: 1:   2 Three Examples
  206.    wt: 1:   4 Circle Area Formula Example
  207.    wt: 1:   3 Triangle Area Formula Example
  208.    wt: 1:   2 Another Rectangle Area Formula Example
  209.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
  210.    wt: 1:   8 Sets of Numbers
  211.    wt: 1:   6 Power Set Notation
  212.    wt: 1:   4 A Brief Story of numbers and algebra
  213.    wt: 1:   3 Comparison of Negative Numbers
  214.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  215.    wt: 1:   6 GCD from Prime
  216.    wt: 1:   5 Common Divisors 60 45 via Prime
  217.    wt: 1:   4 LCM of 8 and 10 via Prime
  218.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  219.    wt: 1:   12 GCD 2700 288 via Prime
  220.    wt: 1:   6 adding signed numbers
  221.    wt: 1:   5 lengths and signs of numbers
  222.    wt: 1:   3 signed coordinates for maps and planes
  223.    wt: 1:   16 Addition Subtraction Comparision Compared
  224.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  225.    wt: 1:   6 Multiplication Algebraically Take II
  226.    wt: 1:   3 Unit fraction of a fraction
  227.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  228.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  229.    wt: 1:   12 Adding Integers More Examples
  230.    wt: 1:   11 Adding Integers Formulas and Examples
  231.    wt: 1:   8 Multiplication by Signed Numbers Integers
  232.    wt: 1:   7 Multiplication by Signs
  233.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  234.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  235.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  236.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  237.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  238.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  239.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  240.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  241.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  242.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  243.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  244.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  245.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  246.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  247.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  248.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  249.    wt: 1:   20 Uniqueness of Prime Factorization
  250.    wt: 1:   15 video Factors of 20 using Prime Factorization
  251.    wt: 1:   14 video Factors of 24 Take II
  252.    wt: 1:   13 video Factors of 24 using prime
  253.    wt: 1:   2 Prime and Composites less than 16
  254.    wt: 1:   Long Division forwards and backwards Example 3
  255.    wt: 1:   Long Division forwards and backwards Example 2
  256.    wt: 1:   Long Division forwards and backwards Example 1
  257.    wt: 1:   11 Another Single Digit Divisor Example
  258.    wt: 1:   10 Division by Five Long and Short Ways
  259.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  260.    wt: 1:   3 Division Single Digit Divisor Example
  261.    wt: 1:   1 Divsion Physical Examples
  262.    wt: 1:   C Counting Areas with Powers of Ten
  263.    wt: 1:   B Powers of Ten
  264.    wt: 1:   6 Multiplication Commutes Order Not Important
  265.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  266.    wt: 1:   Video Decimal Multiplication Geometric View Example 2
  267.    wt: 1:   Subtraction with J Conversions Example
  268.    wt: 1:   8 Subtraction with Units of Measure
  269.    wt: 1:   2 Subtraction Easy Case Examples
  270.    wt: 1:   6. Counting and adding units and mixed units
  271.    wt: 1:   5. How to add decimals C. Examples
  272.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  273.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  274.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  275.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  276.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  277.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  278.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  279.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  280.    wt: 1:   Quick history of numbers and algebra
  281.    wt: 1:   016 Numbering Occidental Calendar Days
  282.    wt: 1:   010 Repeated Addition of Time Intervals
  283.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  284.    wt: 1:   8 Addition of Time Intervals via subtotaling
  285.    wt: 1:   7 Addition of Time Intervals
  286.    wt: 1:   6 How long is a million seconds
  287.    wt: 1:   4 Mixing and Changing Units of Time
  288.    wt: 1:   3 Units and Lengths of Time
  289.    wt: 1:   1 Intro of Kids To Time Date Skills
  290.    wt: 1:   Example 1. Area Between x and x squared
  291.    wt: 1:   Example 3
  292.    wt: 1:   Example 2
  293.    wt: 1:   Example 1
  294.    wt: 1:   A Related Material in Volume 3
  295.    wt: 1:   4 Second derivative test exercise example
  296.    wt: 1:   A Chain Rule Real Player video examples
  297.    wt: 1:   36 Cube root derivative animated
  298.    wt: 1:   34 Derivative of exponential function
  299.    wt: 1:   33 Chain Rule Real Player video examples
  300.    wt: 1:   31 Derivatives of inverse functions
  301.    wt: 1:   30Chain Rule A Proof
  302.    wt: 1:   28 Chain Rule Preparation for a Proof
  303.    wt: 1:   26 Chain Rule Recognising outer inner functions
  304.    wt: 1:   25 Chain Rule Animated Examples Continued
  305.    wt: 1:   24 Chain Rule Animated Examples
  306.    wt: 1:   12 Quotient rule examples
  307.    wt: 1:   8 Differentiation of polynomials
  308.    wt: 1:   7 Animated Differentiation Examples
  309.    wt: 1:   6 Power rule from product rule
  310.    wt: 1:   11 Limits at infinity Three Examples
  311.    wt: 1:   8 Four Animated Examples
  312.    wt: 1:   7 Evaluation by immediate or delayed substitution
  313.    wt: 1:   6 Continuity at a point
  314.    wt: 1:   5 Jumps and absence of unlimited error control
  315.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  316.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  317.    wt: 1:   G.3 Constant Difference Theorem Proof
  318.    wt: 1:   E2 Algebraic Properties of Limits
  319.    wt: 1:   D2 Limits of Monotone Sequences
  320.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  321.    wt: 1:   Chapter 16. Velocity Approximation
  322.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  323.    wt: 1:   Chapter 9 About First Courses in Calculus
  324.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  325.    wt: 1:   Fall 1983 Calculus Appetizer
  326.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  327.    wt: 1:   Chapter 25. Mathematical Induction Examples
  328.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  329.    wt: 1:   Chapter 16. Painless Theorem Proving
  330.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  331.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  332.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  333.    wt: 1:   Chapter 4 Longer Chains of Reason
  334.    wt: 1:   Chapter 3 Chains of Reason
  335.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  336.    wt: 1:   Chapter 7 Two Treatments of Geometry
  337.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  338.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
  339.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  340.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  341.    wt: 1:   Chapter 8 Change of Language
  342.    wt: 1:   Chapter 7 Longer Chains of Reason
  343.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  344.    wt: 1:   C. Domino effect of being careful
  345.    wt: 1:   B. Domino effect of errors
  346.    wt: 1:   Chapter 6 More Algebra and Geometry
  347.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  348.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  349.    wt: 1:   More Algebra and Slope based Calculus Preview
  350.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  351.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

1131 matches:

  1.    wt: 9:   Example 4 with x function of y
  2.    wt: 9:   Example 1
  3.    wt: 9:   Summary
  4.    wt: 9:   16 Derivatives of reciprocals of sine and cosine
  5.    wt: 9:   6 Continuity at a point
  6.    wt: 8:   6 Algebraic Solution Example
  7.    wt: 8:   6 Three Examples
  8.    wt: 8:   Example 1. Area Between x and x squared
  9.    wt: 8:   Area Between Crossing Curves Lesson Take 1
  10.    wt: 8:   Example 3
  11.    wt: 8:   Example 2
  12.    wt: 8:   4 Definite Integrals Evaluation Exercises
  13.    wt: 8:   A Related lessons in Volume 3
  14.    wt: 8:   4 Second derivative test exercise example
  15.    wt: 8:   36 Cube root derivative animated
  16.    wt: 8:   28 Chain Rule Preparation for a Proof
  17.    wt: 8:   25 Chain Rule Animated Examples Continued
  18.    wt: 8:   17 Derivatives of quotients of sine and cosine
  19.    wt: 8:   12 Quotient rule examples
  20.    wt: 8:   8 Differentiation of polynomials
  21.    wt: 8:   8 Four Animated Examples
  22.    wt: 8:   7 Evaluation by immediate or delayed substitution
  23.    wt: 8:   5 Jumps and absence of unlimited error control
  24.    wt: 7:   chapitre 06 00 Chaines de la raison
  25.    wt: 7:   6 Trigonometry Sines of Supplementary Angles
  26.    wt: 7:   6 Intersection of lines by solving linear systems
  27.    wt: 7:   6 Column Methods for Decimal Multiplication
  28.    wt: 7:   5 Areas of Rectangles Revisited
  29.    wt: 7:   4 Comparison of Negative Numbers
  30.    wt: 7:   10 Volume of Pyramid
  31.    wt: 7:   9 Volume of Cone
  32.    wt: 7:   6 Pythagorean Hypotenuse Calculation Example
  33.    wt: 7:   5 Box Volume Formula Example
  34.    wt: 7:   Area Between Crossing Curves Lesson Take 2
  35.    wt: 7:   Area Between Curves Lesson Take 2
  36.    wt: 7:   Area Between Curves Lesson Take 1
  37.    wt: 7:   A Related Material in Volume 3
  38.    wt: 7:   5 Area Under Curve Exercise
  39.    wt: 7:   3 Two Chain Rule Method Exercises
  40.    wt: 7:   2 Indefinite Integrals Exercises
  41.    wt: 7:   1 Chain Rule in Reverse Integration Method
  42.    wt: 7:   3 Second derivative test
  43.    wt: 7:   2 Second derivative test prequel
  44.    wt: 7:   1 Two cubic sketching exercises with 1st derivative
  45.    wt: 7:   A Chain Rule Real Player video examples
  46.    wt: 7:   34 Derivative of exponential function
  47.    wt: 7:   33 Chain Rule Real Player video examples
  48.    wt: 7:   31 Derivatives of inverse functions
  49.    wt: 7:   30Chain Rule A Proof
  50.    wt: 7:   27 Chain Rule sinusoidal outer inner functions EGS
  51.    wt: 7:   26 Chain Rule Recognising outer inner functions
  52.    wt: 7:   24 Chain Rule Animated Examples
  53.    wt: 7:   18 Chain Rule Introduction
  54.    wt: 7:   15 sine and cosine derivatives 3rd step
  55.    wt: 7:   13 sine and cosine derivatives 1st step
  56.    wt: 7:   7 Animated Differentiation Examples
  57.    wt: 7:   6 Power rule from product rule
  58.    wt: 7:   3 Motivation for Limit Definition Take 2
  59.    wt: 7:   2 Motivation for Limit Definition Take 1
  60.    wt: 7:   1 Fall 1983 Why Slopes Appetizer
  61.    wt: 7:   11 Limits at infinity Three Examples
  62.    wt: 7:   9 Limits Continuity and Composition
  63.    wt: 7:   4 Numerical properties
  64.    wt: 7:   3 Decimal insights for limits continuity convergence
  65.    wt: 7:   2 Algebraic codification
  66.    wt: 7:   1 Numerical introduction
  67.    wt: 6:   chapitre 12 00 les iles et division
  68.    wt: 6:   chapitre 07 00 Des chaines plus longues de la raison
  69.    wt: 6:   chapitre 05 00 Deception
  70.    wt: 6:   chapitre 04 06 engagements
  71.    wt: 6:   chapitre 04 00 Les regles d implication
  72.    wt: 6:   chapitre 02 00 La Communication des idees
  73.    wt: 6:   chapitre 01 00 Introduction
  74.    wt: 6:   6 Field Properties of Complex Number
  75.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
  76.    wt: 6:   Why Trigonometry the whyslopes view
  77.    wt: 6:   Right Triangle and Unit Circle Trigonometry
  78.    wt: 6:   16 Angles Subtended By Chords and Diameters
  79.    wt: 6:   21 Addition of Multiples of a Single Vector
  80.    wt: 6:   7 Decimals Multiplication Methods Examples
  81.    wt: 6:   1 The Counting Origins of Numbers
  82.    wt: 6:   4 Fraction Operations Axiomatic Development
  83.    wt: 6:   3 Inequalities Algebraically
  84.    wt: 6:   2 Fraction Operations Physical Development
  85.    wt: 6:   1 Decimals Modular and Remainder Arithmetic
  86.    wt: 6:   7 Pythagorean Theorem Chinese Square Proof
  87.    wt: 6:   6 Compound Interest Forward and Backwards
  88.    wt: 6:   6 Equations and Systems Equivalent or Implied
  89.    wt: 6:   5 Greater More Less Than Signs in General
  90.    wt: 6:   3 More and Less Than with Unlike Signs
  91.    wt: 6:   2 More and Less Than for Counts and Measures
  92.    wt: 6:   1 Real Numbers Comparison
  93.    wt: 6:   5 Gaussian Elimination for 3 unknowns 2nd example
  94.    wt: 6:   4 GE III Animated Examples
  95.    wt: 6:   3 Gaussian Elimination 3 unknowns first example
  96.    wt: 6:   1 GE Substitution four examples
  97.    wt: 6:   3 Solving triangular system example
  98.    wt: 6:   4 Four Examples Fractional Coefficients
  99.    wt: 6:   3 Four Examples
  100.    wt: 6:   2 Three Examples
  101.    wt: 6:   10 One Example
  102.    wt: 6:   9 Three Examples
  103.    wt: 6:   8 One Example
  104.    wt: 6:   7 Two Examples
  105.    wt: 6:   5 Three Examples
  106.    wt: 6:   4 Two Examples
  107.    wt: 6:   3 Two Examples
  108.    wt: 6:   2 Three Examples
  109.    wt: 6:   11 Volume of Sphere
  110.    wt: 6:   4 Circle Area Formula Example
  111.    wt: 6:   3 Triangle Area Formula Example
  112.    wt: 6:   2 Another Rectangle Area Formula Example
  113.    wt: 6:   8 Sets of Numbers
  114.    wt: 6:   6 Power Set Notation
  115.    wt: 6:   6 Multiplication of Mixed Numbers
  116.    wt: 6:   6 Subtraction with Conversion Example with Exercises
  117.    wt: 6:   012 Division of Time Intervals by Time Intervals
  118.    wt: 6:   011 Division of Time Intervals By Numbers
  119.    wt: 6:   9 Comparison and Subtraction of Time Intervals
  120.    wt: 6:   8 Addition of Time Intervals via subtotaling
  121.    wt: 6:   7 Addition of Time Intervals
  122.    wt: 6:   6 How long is a million seconds
  123.    wt: 6:   4 Mixing and Changing Units of Time
  124.    wt: 6:   3 Units and Lengths of Time
  125.    wt: 6:   1 Intro of Kids To Time Date Skills
  126.    wt: 6:   38 Formulas and derivatives for powers and roots
  127.    wt: 6:   29 Chain Rule Optional Reading
  128.    wt: 6:   23 Chain Rule in general
  129.    wt: 6:   22 Chain Rule for polynomials
  130.    wt: 6:   21 Chain Rule for powers
  131.    wt: 6:   20 Chain Rule for Pulley Systems
  132.    wt: 6:   19 Chain Rule for linear functions
  133.    wt: 6:   14 sine and cosine derivatives 2nd step
  134.    wt: 6:   11 Quotient rule
  135.    wt: 6:   10 Power rule for negative integers
  136.    wt: 6:   9 Reciprocal rule
  137.    wt: 6:   5 Product Rule
  138.    wt: 6:   4 Sum Rule
  139.    wt: 6:   13 Limits with Parameters and Derivatives Take II
  140.    wt: 6:   12 Limits with Parameters and Derivatives Take I
  141.    wt: 6:   10 Three one sided limits with infinite values
  142.    wt: 6:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  143.    wt: 5:   chapitre 07 01 principle D induction mathematique
  144.    wt: 5:   chapitre 04 10 Etapes pour une meilleur raison
  145.    wt: 5:   chapitre 04 09 Regles accidentelles
  146.    wt: 5:   chapitre 04 08 Limitations et benefices
  147.    wt: 5:   chapitre 04 07 RepetablesEtReproductibles
  148.    wt: 5:   chapitre 04 05 Implication versus suggestion
  149.    wt: 5:   chapitre 04 04 Parlons de la logique
  150.    wt: 5:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  151.    wt: 5:   chapitre 04 02 Deuxieme enigme
  152.    wt: 5:   chapitre 04 01 Premiere enigme
  153.    wt: 5:   chapitre 03 A Propos Des Prochains Chapitre
  154.    wt: 5:   E Kirchoffs Second Law
  155.    wt: 5:   16 Secondary Mathematics Tips
  156.    wt: 5:   6 Discipline Who is in Charge Conserving Authority
  157.    wt: 5:   Ages 6 to 7
  158.    wt: 5:   6 Graph of arccos function
  159.    wt: 5:   4 Resultant of a Sum of Movements
  160.    wt: 5:   27 Logarithmic use of products of sines and cosines
  161.    wt: 5:   16 References and Originality Question
  162.    wt: 5:   5 An Easy Proof of the Distributive Law
  163.    wt: 5:   8 Triangles Cascade Problem Solving
  164.    wt: 5:   7 Trignometric Ratios Unit Circle
  165.    wt: 5:   5 Trigonometric Ratios For Tangent and Special Triangles
  166.    wt: 5:   4 Trigonometric Ratios For Two Special Triangles
  167.    wt: 5:   3 Trigonometric Ratios sine and cosine
  168.    wt: 5:   1 Angle Measurement with Degrees
  169.    wt: 5:   6 Polar Multiplication and Rotation
  170.    wt: 5:   6 Ruler and compass Angle Bisection
  171.    wt: 5:   8 More Use of Maps Not Drawn to Scale
  172.    wt: 5:   6 Figuring with Maps Not to Scale
  173.    wt: 5:   26 More Less Greater Than Comparison
  174.    wt: 5:   22 Multiplication of Signed Numbers
  175.    wt: 5:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  176.    wt: 5:   19 Signed Multiples of Vectors
  177.    wt: 5:   16 Collinear Horizontal Arrows Vectors
  178.    wt: 5:   13 Arrows and Vectors in a Plane
  179.    wt: 5:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  180.    wt: 5:   8 Division and Mulplication of Compound Fractions
  181.    wt: 5:   6 Infinite Decimals Ending in 9 repeating
  182.    wt: 5:   4 Location of Point in Decimal Addition
  183.    wt: 5:   3 Location of Point in Decimal Multiplication
  184.    wt: 5:   E Long Division Methods more
  185.    wt: 5:   D Long Division Methods
  186.    wt: 5:   C Three Decimal Subtraction Methods
  187.    wt: 5:   B Decimal Comparison and Subtraction
  188.    wt: 5:   A Decimal Addition Columm Methods
  189.    wt: 5:   8 Column Multiplication Methods in General
  190.    wt: 5:   5 Distributive Law for Whole Numbers
  191.    wt: 5:   4 Commutative Law Groups Counting Form
  192.    wt: 5:   3 Multiplicative Counting Skills Principles
  193.    wt: 5:   2 Combing Counts Addition Skills and Principles
  194.    wt: 5:   3 Proportionality Examples
  195.    wt: 5:   9 Circle Area and Perimeter Formula Backwards Forwards
  196.    wt: 5:   8 Pythagorean Relation Forwards Backwards
  197.    wt: 5:   5 Triangle Area Formula Backwards
  198.    wt: 5:   4 Rectangle Area and Like Formulas Backwards
  199.    wt: 5:   3 Linear Equation Literal Solution More
  200.    wt: 5:   2 Linear Equation Literal Solution
  201.    wt: 5:   1 Changing Calculations
  202.    wt: 5:   5 Equality in Algebra
  203.    wt: 5:   4 Subtraction and Division Axioms
  204.    wt: 5:   3 Product Axioms Two Forms
  205.    wt: 5:   2 Addition and Multiplication Axioms
  206.    wt: 5:   1 Equivalent Computation Rules
  207.    wt: 5:   16 Real Numbers Comparison
  208.    wt: 5:   8 Coordinates for Maps and Planes
  209.    wt: 5:   6 Unsigned Real Numbers
  210.    wt: 5:   5 Rational Numbers More
  211.    wt: 5:   4 Rational Numbers
  212.    wt: 5:   3 Fractions
  213.    wt: 5:   2 Integers
  214.    wt: 5:   1 Whole and Natural Numbers
  215.    wt: 5:   3 GE III Equation Addition and Multiplication
  216.    wt: 5:   2 GE II Comparison
  217.    wt: 5:   4 Solving a triangular system exercise
  218.    wt: 5:   2 Essentially one exercises three with solution
  219.    wt: 5:   1 Essentially One Unknown
  220.    wt: 5:   5 Algebraic Solutions Introduction
  221.    wt: 5:   1 Proper Equal Sign Usage
  222.    wt: 5:   Skill Development Notes
  223.    wt: 5:   Formula Usage Show Work Format
  224.    wt: 5:   8 Compound Interest Formula Evaluation
  225.    wt: 5:   7 Compound Interest Formula Introduction
  226.    wt: 5:   1 Written work formats for developing and showing skill
  227.    wt: 5:   10 Set View of Wordy Extensions To Arithmetic
  228.    wt: 5:   9 Sets in Probability and Statistics
  229.    wt: 5:   7 Cautious or Safe Set Construction
  230.    wt: 5:   5 Product Builder Notation
  231.    wt: 5:   4 Subset Builder Notation
  232.    wt: 5:   3 Counting with Sets etc
  233.    wt: 5:   2 Venn Diagrams
  234.    wt: 5:   1 Finite Sets
  235.    wt: 5:   6 Three Notions of What is a Variable
  236.    wt: 5:   6 Multiplication Algebraically Take II
  237.    wt: 5:   6 Multiplication by Natural Numbers
  238.    wt: 5:   16 video Factors of 980 using prime
  239.    wt: 5:   6 Sieve of Eratosthenes and Square Rule
  240.    wt: 5:   6 Why Decimal Long Division Methods Works Take I
  241.    wt: 5:   6 Multiplication Commutes Order Not Important
  242.    wt: 5:   6. Counting and adding units and mixed units
  243.    wt: 5:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  244.    wt: 5:   016 Numbering Occidental Calendar Days
  245.    wt: 5:   010 Repeated Addition of Time Intervals
  246.    wt: 5:   5 Conversion Arithmetic
  247.    wt: 5:   2 Time and Date Matters in School
  248.    wt: 5:   G.1 First Fundamental Theorem of Calculus
  249.    wt: 5:   D2 Limits of Monotone Sequences
  250.    wt: 5:   Postscript Pythagorean Theorem yet another proof
  251.    wt: 5:   Chapter 16. Velocity Approximation
  252.    wt: 5:   Chapter 6. Slopes and Vertical Shifts
  253.    wt: 5:   Fall 1983 Calculus Appetizer
  254.    wt: 5:   Chapter 6 Change of Language
  255.    wt: 5:   6 Measuring via counting or arithmetic the role of fractions
  256.    wt: 4:   6 polynomials etc
  257.    wt: 4:   1 Energy Power Heat06
  258.    wt: 4:   D Kirchoff First Law
  259.    wt: 4:   27 Graduated Correction and Penalties for Young Offenders
  260.    wt: 4:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  261.    wt: 4:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  262.    wt: 4:   19 Extending the Oral Dimension of Mathematics
  263.    wt: 4:   9 Streaming by Student Cooperation
  264.    wt: 4:   8 The Effect of Negative Remarks
  265.    wt: 4:   Ages 12 to 14 Skills with take home value
  266.    wt: 4:   Ages 12 to 14 Geometry
  267.    wt: 4:   Ages 12 to 14 Arithmetic
  268.    wt: 4:   Ages 10 to 12 Geometry
  269.    wt: 4:   Ages 10 to 12 Arithmetic
  270.    wt: 4:   Ages 9 to 10
  271.    wt: 4:   Ages 8 to 9
  272.    wt: 4:   Ages 7 to 8
  273.    wt: 4:   Ages 4 plus to 5 plus
  274.    wt: 4:   Ages 3 plus to 4 plus
  275.    wt: 4:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  276.    wt: 4:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  277.    wt: 4:   sign monoticity analysis example 4
  278.    wt: 4:   sign monoticity analysis example 3
  279.    wt: 4:   sign monoticity analysis example 2
  280.    wt: 4:   sign monoticity analysis example 1
  281.    wt: 4:   6 Set Existence Formation and Notation
  282.    wt: 4:   6 Formulas for Even and Odd Roots with Logarithms
  283.    wt: 4:   16 cotangent function Definition Graph and Inverse
  284.    wt: 4:   11 arctan left inverse of tangent Graph
  285.    wt: 4:   10 arctan left inverse of tangent Definition
  286.    wt: 4:   8 arcsin left inverse of sine Graph
  287.    wt: 4:   7 arcsin left inverse of sine Definition
  288.    wt: 4:   3 Left Inverse of cosine arccos definition
  289.    wt: 4:   8 Radian Measures of Common Angles
  290.    wt: 4:   6 Radian Measure to Degrees
  291.    wt: 4:   5 Degrees to Radian Measure
  292.    wt: 4:   2 Radian Measure Numerical Value of one degree
  293.    wt: 4:   1 Degrees and Radians Introduction
  294.    wt: 4:   6 Vectors with Coordinates
  295.    wt: 4:   Vector and Complex Number Applet
  296.    wt: 4:   Parallel Lines and Parallel Transversals
  297.    wt: 4:   Proportionality of Line Segments From Parallel Transversals
  298.    wt: 4:   Analytic View of Triangle Construction or Line Instersection More
  299.    wt: 4:   Straight Lines Intersection of
  300.    wt: 4:   D Straight Lines Slope from Coordinates Examples
  301.    wt: 4:   6 Tangent Function Inclination Angle Take 2
  302.    wt: 4:   4 Tangent Function Properties
  303.    wt: 4:   3 Straight Lines Slope as Tangent of Inclination Angle
  304.    wt: 4:   26 Formulas for products of sines and cosines
  305.    wt: 4:   9 Graphs of sine and cosine over one period
  306.    wt: 4:   Unit Circle Development of Trigonometry
  307.    wt: 4:   Right Triangle and Unit Circle Trigonometry
  308.    wt: 4:   20 N th Roots of Complex Numbers
  309.    wt: 4:   19 N th Roots of Unity
  310.    wt: 4:   18 Sixth Roots of Unity
  311.    wt: 4:   17 Cube Roots of unity
  312.    wt: 4:   14 Law of cosines
  313.    wt: 4:   8 Unit Circle Development of Trigonometry
  314.    wt: 4:   Appetizer A Complex Number Applet
  315.    wt: 4:   10 Similarity of Triangles Equivalent of Two Criteria
  316.    wt: 4:   9 Similarity of Triangles Usual Criteria
  317.    wt: 4:   6 Geometric Diagrams in Class
  318.    wt: 4:   5 Similarity of Circles Squares and Rectangles
  319.    wt: 4:   12 Links Lessons elsewhere
  320.    wt: 4:   10 Midpoint of [a b] and [b a]
  321.    wt: 4:   5 Algebraic View of Slopes
  322.    wt: 4:   1 Numerical view of lines and their equations
  323.    wt: 4:   What is and is not here
  324.    wt: 4:   10 Pythagorean plane distance formula
  325.    wt: 4:   9 Pythagorean Theorem Chinese Square Proof
  326.    wt: 4:   PS F Scalar Multiplication Distributes over Addition
  327.    wt: 4:   17 Right Bisectors of Triangle Sides
  328.    wt: 4:   9 Construction of a right bisector
  329.    wt: 4:   3 Isometry of Triangles Congruence
  330.    wt: 4:   Short Course on Euclidean Geometry
  331.    wt: 4:   A Measurement with Ruler Proper Use
  332.    wt: 4:   5 Drawing to Scale Avoids Angle Distortions
  333.    wt: 4:   4 Angles on Maps Plans drawn to scale
  334.    wt: 4:   3 Lengths and Areas on Maps and Plans
  335.    wt: 4:   2 Measuring Area Directly
  336.    wt: 4:   1 Length Measurement
  337.    wt: 4:   A Modular and Remainder Arithmetic
  338.    wt: 4:   A Signed Number Arithmetic Review
  339.    wt: 4:   25 Mid way Convergence to Axiomatic Approach
  340.    wt: 4:   24 Signed Numbers Arithmmetic Properties
  341.    wt: 4:   23 Distributive Law Two Derivations
  342.    wt: 4:   18 Geometrically Why Vector Addition Commutes
  343.    wt: 4:   17 Arrows Rotate to Reverse with Length Unchanged
  344.    wt: 4:   15 Head to Tails in place Addition Associative
  345.    wt: 4:   14 Vector Head to Tail Sums and Resultants
  346.    wt: 4:   12 Real Numbers Line Signed Coordinates
  347.    wt: 4:   11 Signed Number Addition and Addition Properties
  348.    wt: 4:   9 Division with Digits after Decimal Point
  349.    wt: 4:   7 Arithmetic with Infinite Decimal Expansions
  350.    wt: 4:   5 Fractions with Infinite Decimal Expansions
  351.    wt: 4:   2 Counting Digits in Decimal Multiplication
  352.    wt: 4:   1 Fractions with Finite Decimal Expansions
  353.    wt: 4:   5 Proportionality in Equivalent Fractions
  354.    wt: 4:   4 Rates Ratios and Proporitionality
  355.    wt: 4:   2 Algebraic View
  356.    wt: 4:   1 What is Proportionality
  357.    wt: 4:   15 Real Number Division
  358.    wt: 4:   14 Real Number Multiplication
  359.    wt: 4:   13 Real Number Subtraction
  360.    wt: 4:   12 Real Number Additive Inverses or Negatives
  361.    wt: 4:   11 Real Number Addition
  362.    wt: 4:   10 Real Number Lengths and Signs
  363.    wt: 4:   9 Coordinates for Regions in Space
  364.    wt: 4:   7 Real Numbers as Line Cordinates
  365.    wt: 4:   5 Independent versus Dependent Variables
  366.    wt: 4:   4 Changing Letters
  367.    wt: 4:   3 Geometric Formulas and Function Notation
  368.    wt: 4:   2 Computation Rules Evaluation
  369.    wt: 4:   1 Formulas Dependence and Function Notation
  370.    wt: 4:   More Exercises
  371.    wt: 4:   Using Letters for Physical Quantities
  372.    wt: 4:   13 Naming Identifying Formulas with Words
  373.    wt: 4:   12 Cone Cylinder Sphere Lesson Idea
  374.    wt: 4:   4 A Brief Story of numbers and algebra
  375.    wt: 4:   About Folder Contents
  376.    wt: 4:   3 Comparison of Negative Numbers
  377.    wt: 4:   3 Properties of Square Roots with example
  378.    wt: 4:   6 adding signed numbers
  379.    wt: 4:   6 Simplification of Fractions with Units
  380.    wt: 4:   D Three Term Ratios
  381.    wt: 4:   C Equality for Fractions and Two Term Ratios and Fractions
  382.    wt: 4:   B Fractions and Two Term Ratios
  383.    wt: 4:   A Similarities between Fractions and Two Term Ratios
  384.    wt: 4:   16 Addition Subtraction Comparision Compared
  385.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
  386.    wt: 4:   9 Improper Fractions and Mixed Numbers
  387.    wt: 4:   8 Numerals Fractionals Quantals Take II
  388.    wt: 4:   7 Numerals Fractionals Quantals
  389.    wt: 4:   3 Unit fraction of a fraction
  390.    wt: 4:   Fraction Operations by Raising Terms A Simple Innovation
  391.    wt: 4:   27 Divisibility by 2 3 6 5 9 10 Example
  392.    wt: 4:   26 Divisibility by 2 3 5 Example
  393.    wt: 4:   16 Remainder Arithmetic Modulo 9 Example 2
  394.    wt: 4:   12 Remainder Arithmetic Modulo 10 Example
  395.    wt: 4:   11 Another Single Digit Divisor Example
  396.    wt: 4:   10 Division by Five Long and Short Ways
  397.    wt: 4:   3 Division Single Digit Divisor Example
  398.    wt: 4:   1 Divsion Physical Examples
  399.    wt: 4:   C Counting Areas with Powers of Ten
  400.    wt: 4:   B Powers of Ten
  401.    wt: 4:   Appendix 2 Three Decimal Subtraction Methods
  402.    wt: 4:   8 Subtraction with Units of Measure
  403.    wt: 4:   2 Subtraction Easy Case Examples
  404.    wt: 4:   5. How to add decimals C. Examples
  405.    wt: 4:   015 School and work day counting tables
  406.    wt: 4:   014 Counting Days with Calendars
  407.    wt: 4:   013 Travel Time Tables
  408.    wt: 4:   G.2 Lipshitz Conditions Integration Calculus Reform
  409.    wt: 4:   G.6 Bounded Derivatives implies Lipshitz Continuity
  410.    wt: 4:   G.3 Constant Difference Theorem Proof
  411.    wt: 4:   G.2 Differentiable Functions Mean Value Theorem
  412.    wt: 4:   E2 Algebraic Properties of Limits
  413.    wt: 4:   Chapter 20 Vectors and Complex Numbers
  414.    wt: 4:   Chapter 15. Algebraic Evaluation of Limits
  415.    wt: 4:   Chapter 10 Slopes and Units
  416.    wt: 4:   Chapter 9 About First Courses in Calculus
  417.    wt: 4:   Chapter 1.Introduction
  418.    wt: 4:   Foreword
  419.    wt: 4:   Chapter 26 What is in chapters 27 to 31
  420.    wt: 4:   Chapter 16. Painless Theorem Proving
  421.    wt: 4:   Chapter 16 Origins and Limitations of Rules and Patterns
  422.    wt: 4:   Chapter 6 Chains of Reason
  423.    wt: 4:   Chapter 7 Calculus Previews and Calculus Lightly
  424.    wt: 4:   Chapter 6 More Algebra and Geometry
  425.    wt: 4:   Chapter 3 Algebra Starter Lessons
  426.    wt: 3:   What is POMME
  427.    wt: 3:   Applied Maths Program14092009 POMME variant
  428.    wt: 3:   links Education Resources online
  429.    wt: 3:   Motivation and Context Problem
  430.    wt: 3:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  431.    wt: 3:   logique deux enigme
  432.    wt: 3:   2 Conductance Resistance Duality02
  433.    wt: 3:   D Wire Resistance Calculation02
  434.    wt: 3:   1 Like resistors in series
  435.    wt: 3:   H Series Circuit02
  436.    wt: 3:   G Series Circuit01
  437.    wt: 3:   F Unlike Resistors in Series
  438.    wt: 3:   C Electromotive force conventional current02
  439.    wt: 3:   B Electromotive force conventional current01
  440.    wt: 3:   A Circuit Elements
  441.    wt: 3:   25 Mathematics Education Leaving A Good Impression
  442.    wt: 3:   24 Standards For Skill Develoment Take II
  443.    wt: 3:   24 Standards For Skill Develoment
  444.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take IV
  445.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take III
  446.    wt: 3:   23 Modularized Skill Development Modularized Rigor Take II
  447.    wt: 3:   23 Modularized Skill Development Modularized Rigor
  448.    wt: 3:   22 Student Centered Highschool Mathematics
  449.    wt: 3:   18 Primary School Mathematics
  450.    wt: 3:   17 Math Booklets for children and young teenagers
  451.    wt: 3:   15 Counting For Parents
  452.    wt: 3:   14 Multiplication and Times Tables
  453.    wt: 3:   13 Addition and Addition Tables
  454.    wt: 3:   12 Goals and Objectives For Mathematics
  455.    wt: 3:   11 Help and Defend Your Child or Teens Education
  456.    wt: 3:   10 Ends values for work study instruction
  457.    wt: 3:   7 Student Motivation
  458.    wt: 3:   5 Patience Please for Yourself and Your Charges
  459.    wt: 3:   4 Learning Takes Time and Effort
  460.    wt: 3:   3 Preparing for Science Studies
  461.    wt: 3:   2 Reading and Writing Skills
  462.    wt: 3:   1 Speaking Skills
  463.    wt: 3:   26 Function definitions done and coming
  464.    wt: 3:   21 Graphs of functions given by Horizontal Line Method
  465.    wt: 3:   16 Increasing or decreasing on intervals
  466.    wt: 3:   8 Set view of relations and functions
  467.    wt: 3:   2 Algebraic use of function notation
  468.    wt: 3:   1 Geometric Introduction of Function Notation
  469.    wt: 3:   Introduction Reading Guide
  470.    wt: 3:   Quadratics in 10 steps
  471.    wt: 3:   1 Calculator Starter Exercises
  472.    wt: 3:   15 cosecant function Definition Graph and Inverse
  473.    wt: 3:   14 secant function Definition Graph and Inverse
  474.    wt: 3:   13 cosecant function Definition Graph and Inverse
  475.    wt: 3:   12 motivation for term arctan
  476.    wt: 3:   9 motivation for name arcsin
  477.    wt: 3:   5 Swapping Coordinates is a reflection
  478.    wt: 3:   4 possible motivation for term arccos
  479.    wt: 3:   2 cosine function more properties
  480.    wt: 3:   1 cosine function properties
  481.    wt: 3:   9 Summary Degrees to Radians and back
  482.    wt: 3:   7 Radian Measures in special Triangles
  483.    wt: 3:   4 Circle Sector Area proportional to Central Angle
  484.    wt: 3:   3 Circle Arclengh Proportional to Central Angle
  485.    wt: 3:   A Global Time and Navigation
  486.    wt: 3:   15 Dot and Cross Product
  487.    wt: 3:   14 Why Scalar Multiplication Distributes Physical Argument
  488.    wt: 3:   13 Velocity Vectors in Physics
  489.    wt: 3:   12 From Applied To Pure Mathematics
  490.    wt: 3:   11 Component Method
  491.    wt: 3:   10 Parallelogram Addition Method
  492.    wt: 3:   9 Head to Tail Coordinate View
  493.    wt: 3:   8 Parallel Vectors
  494.    wt: 3:   7 Coordinate Addition and Scalar Multiplication
  495.    wt: 3:   5 Head To Tail Arrow Addition
  496.    wt: 3:   3 Navigation with Arrows or Vectors
  497.    wt: 3:   2 Signed Coordinates
  498.    wt: 3:   1 Unsigned Coordinates
  499.    wt: 3:   4 graphing y=Asin(x c)
  500.    wt: 3:   3 graphing y=f(x c) plus K
  501.    wt: 3:   2 Graphing y=Af(x) Vertical Scaling
  502.    wt: 3:   1 graphing y=f(x a)
  503.    wt: 3:   Triangle Angles Sum To 180 Degrees
  504.    wt: 3:   Parallel Lines and Alternating Corresponding Angles
  505.    wt: 3:   Parallel Lines and Interior Angles
  506.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  507.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
  508.    wt: 3:   Straight Lines ASA Intersection Study More
  509.    wt: 3:   Straight Lines ASA Intersection Study
  510.    wt: 3:   Straight Lines Instersection Solving Equations
  511.    wt: 3:   C Straight Lines Slope from Coordinates
  512.    wt: 3:   B Straight Line Slope Scaling Properties More
  513.    wt: 3:   A Straight Line Slope Scaling Properties
  514.    wt: 3:   14 Straight Lines Equations General Case
  515.    wt: 3:   13 Straight Lines Finding Equations from 2 points
  516.    wt: 3:   12 Straight Lines Graphing mx plus b
  517.    wt: 3:   11 Straight Lines Graphing y=mx
  518.    wt: 3:   10 Straight Lines through Origin Equations More
  519.    wt: 3:   9 Straight Lines through Origin Equations
  520.    wt: 3:   8 Straight Lines Equation for vertical
  521.    wt: 3:   7 Tangent Function is odd on this domain
  522.    wt: 3:   5 Tangent Function Graph
  523.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
  524.    wt: 3:   1 Straight Lines Slope Concept
  525.    wt: 3:   17 tangent function angle sum formulas
  526.    wt: 3:   35 sines and cosines of 2A 3A 4A 5A
  527.    wt: 3:   34 sines and cosines of 2A 3A 4A 5A
  528.    wt: 3:   33 sines and cosines of 2A 3A 4A 5A
  529.    wt: 3:   32 seven rows of pascals triangle
  530.    wt: 3:   30 unit circle calculation of six trigonometric functions
  531.    wt: 3:   28 Expressing products of sines cosines as sums
  532.    wt: 3:   23 sine and cosine of 180 plus 22.5 degrees
  533.    wt: 3:   22 sine of 22.5 degrees via half angle formulas
  534.    wt: 3:   18 sum of sinusoidal waves as a single wave
  535.    wt: 3:   17F Law of cosines
  536.    wt: 3:   16 Right Triangle Complementary Angle Relations
  537.    wt: 3:   13 Graph of tangent function many periods
  538.    wt: 3:   12 Graph of tangent function for one period
  539.    wt: 3:   10 Graphs of sines and cosines many periods
  540.    wt: 3:   8 period of tangent function
  541.    wt: 3:   7 period of sine and cosine
  542.    wt: 3:   6 sines and cosines for reference angle 30 degrees
  543.    wt: 3:   5 sines and cosines for reference angle 60 degrees
  544.    wt: 3:   3 sines and cosines for reference angle 90 degrees
  545.    wt: 3:   2 Quadrant I reference Angles
  546.    wt: 3:   1 Unit Points Reflections Rotations
  547.    wt: 3:   21 Logarithms Powers and Exponentials
  548.    wt: 3:   15 Pythagorean Theorem Converse
  549.    wt: 3:   13 Trig Formulas for dot and cross Products
  550.    wt: 3:   12 cis formulas for sine cosines and tangent
  551.    wt: 3:   11 sine and cosine double triple angle formulas
  552.    wt: 3:   10 sine cosine Angle Sum Formulas via cis
  553.    wt: 3:   9 The complex number valued trig function cis
  554.    wt: 3:   7 Second Way to Calculate Products
  555.    wt: 3:   4 Multiplication Properties
  556.    wt: 3:   3 Addition Properties
  557.    wt: 3:   2 Complex Numbers made easier we hope
  558.    wt: 3:   1 Rectangular Polar Coordinates Review
  559.    wt: 3:   13 Navigation Location from Angles to 2 Landmarks
  560.    wt: 3:   12 Triangles Similarity More Problems
  561.    wt: 3:   11 Triangle Similarity Missing Side Problem
  562.    wt: 3:   8 Similarity of Triangles and Polygons
  563.    wt: 3:   3 Similarity by Design with coordinates
  564.    wt: 3:   2 Similarity By Design
  565.    wt: 3:   1 Early Concept of Like or Similar Shapes
  566.    wt: 3:   Four Simple Exercises
  567.    wt: 3:   11 A Partial Summary
  568.    wt: 3:   9 Midpoint Coordinates Half Endpoint Sum
  569.    wt: 3:   8 Mid Point Formula
  570.    wt: 3:   7 Exercises to test skill and concept mastery
  571.    wt: 3:   4 Equations for lines three forms
  572.    wt: 3:   3 Slope product for perpendicular lines
  573.    wt: 3:   2 point slope equation for a line
  574.    wt: 3:   13 Pythagorean spatial distance formulas
  575.    wt: 3:   12 Spatial Coordinates
  576.    wt: 3:   11 Triangle Inequality
  577.    wt: 3:   8 Distance Between Points on a Line
  578.    wt: 3:   7 Complex Numbers Appetizer
  579.    wt: 3:   5 Cartesian Addition and Translation
  580.    wt: 3:   4 Polar Coordinates to and from
  581.    wt: 3:   3 Rectangular Coordinates Review
  582.    wt: 3:   2 Cartesian Coordinates with signs
  583.    wt: 3:   1 Cartesian Coordinates sans signs
  584.    wt: 3:   Euclidean Geometry Elsewhere LINKS
  585.    wt: 3:   PS H Distributive Law For Complex Numbers
  586.    wt: 3:   PS G Rotation Distributes over Addition
  587.    wt: 3:   PS E Multiplication with Polar Coordinates
  588.    wt: 3:   PS D Addition with Cartesian Coordinates
  589.    wt: 3:   PS C Similarity Use Recognize it in Trigonometry
  590.    wt: 3:   PS B Parallelogram Construction Methods
  591.    wt: 3:   PS A Kite Construction Methods
  592.    wt: 3:   21 Parallelograms
  593.    wt: 3:   19 Right Triangle Similarity
  594.    wt: 3:   18 Triangle Similarity Take 1
  595.    wt: 3:   15 Triangle Angle Sum is 180 degrees
  596.    wt: 3:   14 Parallel Lines Postulate
  597.    wt: 3:   13 Angle Side Angle Failure
  598.    wt: 3:   12 Side Angle Side Failure
  599.    wt: 3:   11 Triangle Construction Fails
  600.    wt: 3:   10 Dropping a perpendicular to line
  601.    wt: 3:   8 Isoceles Triangles
  602.    wt: 3:   7 Angle Side Angle
  603.    wt: 3:   5 Side Angle Side
  604.    wt: 3:   4 Side Side Side
  605.    wt: 3:   2 Correspondence between Triangles
  606.    wt: 3:   1 Initial Concepts and Terms
  607.    wt: 3:   About Folder Contents
  608.    wt: 3:   musings do not puiblish real numbers
  609.    wt: 3:   Simple Exercises
  610.    wt: 3:   5 Talking about Numbers and Quantities
  611.    wt: 3:   3 Adding Words To Arithmetic
  612.    wt: 3:   2 What is a Variable
  613.    wt: 3:   1 Three Skills For Algebra
  614.    wt: 3:   4 Greater More Less Than Signs in General
  615.    wt: 3:   2 More and Less Than with Unlike Signs
  616.    wt: 3:   1 More and Less Than for Counts and Measures
  617.    wt: 3:   16 GCD and LCM of 650 225 via Prime
  618.    wt: 3:   2 Counting with Tables and Trees I
  619.    wt: 3:   5 lengths and signs of numbers
  620.    wt: 3:   3 signed coordinates for maps and planes
  621.    wt: 3:   22 Complex Compound Fractions
  622.    wt: 3:   21 Working With Signs
  623.    wt: 3:   21 Reciprocals for Fractions and Wholes
  624.    wt: 3:   20 Dividing Fractions the Why
  625.    wt: 3:   19 Dividing Fractions How TO
  626.    wt: 3:   18 Efficient Ways to Multiply
  627.    wt: 3:   17 Efficient Ways to Add and Subtract
  628.    wt: 3:   15 Adding and Subtracting with Unlike Denominators
  629.    wt: 3:   14 Adding and Subtracting with Like Denominators
  630.    wt: 3:   13 Fraction Comparison Algebraic View
  631.    wt: 3:   12 Fraction Comparison
  632.    wt: 3:   11 Simplification an Algebraic View
  633.    wt: 3:   5 Equivalent Fractions
  634.    wt: 3:   4 Fraction Multiplication
  635.    wt: 3:   2 Unit Fraction Multiplication
  636.    wt: 3:   1 What is a fraction Take II
  637.    wt: 3:   1 What is a fraction
  638.    wt: 3:   C Divisibility by 11 Integer Recognition Method
  639.    wt: 3:   12 Adding Integers More Examples
  640.    wt: 3:   11 Adding Integers Formulas and Examples
  641.    wt: 3:   8 Multiplication by Signed Numbers Integers
  642.    wt: 3:   7 Multiplication by Signs
  643.    wt: 3:   2 Integers Multiplies of a Unit Moverment
  644.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
  645.    wt: 3:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  646.    wt: 3:   19 Remainder Arithmetic Rule of 9 for checking sums III
  647.    wt: 3:   18 Remainder Arithmetic Rule of 9 for checking sums II
  648.    wt: 3:   17 Remainder Arithmetic Rule of 9 for checking sums I
  649.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
  650.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
  651.    wt: 3:   13 Remainder Arithmetic Modulo 5 Example
  652.    wt: 3:   11 Remainder Arithmetic Long Division by 5 Quickly more
  653.    wt: 3:   10 Remainder Arithmetic Long Division by 5 Quickly
  654.    wt: 3:   9 Remainder Arithmetic Divisibility by 5
  655.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
  656.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
  657.    wt: 3:   6 Remainder Arithmetic Modulo 5 Propertie
  658.    wt: 3:   2 Remainder Arithmetic Modulo 10 more
  659.    wt: 3:   20 Uniqueness of Prime Factorization
  660.    wt: 3:   15 video Factors of 20 using Prime Factorization
  661.    wt: 3:   14 video Factors of 24 Take II
  662.    wt: 3:   13 video Factors of 24 using prime
  663.    wt: 3:   2 Prime and Composites less than 16
  664.    wt: 3:   Long Division forwards and backwards Example 3
  665.    wt: 3:   Long Division forwards and backwards Example 2
  666.    wt: 3:   Long Division forwards and backwards Example 1
  667.    wt: 3:   12 Why Long Division Works Take III
  668.    wt: 3:   9 Why Long Division Works Take II
  669.    wt: 3:   8 Correcting the Mistake
  670.    wt: 3:   7 Long Divison Mistake Catching
  671.    wt: 3:   5 Long Division Include Zeroes or not
  672.    wt: 3:   4 Division with 2 Digit Divsors
  673.    wt: 3:   2 Division with Single Digit Divisors
  674.    wt: 3:   D Decimal Multiplication Methods Derived
  675.    wt: 3:   A Elementary Basis for Multiplication Methods
  676.    wt: 3:   5 Decimal Fraction Multiplication
  677.    wt: 3:   4 Two and Three Digit Multipliers
  678.    wt: 3:   3 More One Digit Multipliers
  679.    wt: 3:   2 One Digit Multipliers
  680.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  681.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  682.    wt: 3:   1 Why 3 times 5 gives 15
  683.    wt: 3:   Appendix 1 Decimals Comparison Method Take II
  684.    wt: 3:   Subtraction with J Conversions Example
  685.    wt: 3:   9 22 Minute Subtraction Review Video
  686.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
  687.    wt: 3:   5 A Tip for Efficent Subtraction
  688.    wt: 3:   4 Subtraction with Conversions Borrows and Letter J
  689.    wt: 3:   3 Harder Cases Convert to Compare and Subtract
  690.    wt: 3:   1 Comparison and Subtraction Easy Direct Cases
  691.    wt: 3:   8 What skills and work habits to require
  692.    wt: 3:   7 Adding decimal fractions using decimal point
  693.    wt: 3:   4. How to add with decimals B with conversions
  694.    wt: 3:   3. How to add with decimals A sans conversions
  695.    wt: 3:   2 Decimal Counting Practices
  696.    wt: 3:   1. Explaining Addition Table
  697.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
  698.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  699.    wt: 3:   8 Review Lesson 1 2 4 and 6 All in One
  700.    wt: 3:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  701.    wt: 3:   5 More on Groups of 3 Place Value in Decimal Fractions
  702.    wt: 3:   4 Groups of 3 Place Value in Decimal Fractions
  703.    wt: 3:   3 More on Groups of 3 Multi Digit Place Value
  704.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
  705.    wt: 3:   Quick history of numbers and algebra
  706.    wt: 3:   G.5 Motions With Bounded Velocities
  707.    wt: 3:   G.4 Lipschitz Continuity implies EquiContinuity
  708.    wt: 3:   G.1 Differentiable Functions Rolles Theorem
  709.    wt: 3:   F.5b Extreme Value Theorem
  710.    wt: 3:   F.5a Equicontinuity Theorems
  711.    wt: 3:   F.4 Finite Covering Theorem
  712.    wt: 3:   F.3 Intermediate Value Theorem
  713.    wt: 3:   F.2 Closed Range Theorem
  714.    wt: 3:   F.1 What Functions are Continuous
  715.    wt: 3:   E1 Error Control Inequalities
  716.    wt: 3:   D1 Sets and Sequences GLBs and LGBs
  717.    wt: 3:   C Triangle Inequalities
  718.    wt: 3:   B3 Bolzano Weierstrass Theorem
  719.    wt: 3:   B1 Pigeon Hole Principles from combinatorics
  720.    wt: 3:   A1. Introduction
  721.    wt: 3:   Chapter 24 Logarithms Powers and Exponentials
  722.    wt: 3:   Chapter 23 Links To Trigonometry
  723.    wt: 3:   Chapter 22 Complex Numbers
  724.    wt: 3:   Chapter 21 Arrow Addition
  725.    wt: 3:   Chapter 19. Exponentials and Natural Logarithms
  726.    wt: 3:   Chapter 18. Slopes Areas Integration
  727.    wt: 3:   Chapter 17. Area Approximation
  728.    wt: 3:   Chapter 15. Slope Approximation
  729.    wt: 3:   Chapter 14 Limits and Continuity with and sans Decimals
  730.    wt: 3:   Chapter 13. Acceleration
  731.    wt: 3:   Chapter 12. Units and Slopes
  732.    wt: 3:   Chapter 11. Graphing Slope versus Position
  733.    wt: 3:   Chapter 8. Slope Interpretation
  734.    wt: 3:   Chapter 7 Slopes and Velocity
  735.    wt: 3:   Chapter 5. Slope Sign Tests
  736.    wt: 3:   Chapter 4. More Slope Sign Analysis
  737.    wt: 3:   Chapter 3. Slope Sign Analysis
  738.    wt: 3:   Chapter 2. Slopes and Ski Trails
  739.    wt: 3:   Chapter 25. Mathematical Induction Examples
  740.    wt: 3:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  741.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  742.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
  743.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  744.    wt: 3:   Chapter 4 Longer Chains of Reason
  745.    wt: 3:   Chapter 3 Chains of Reason
  746.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
  747.    wt: 3:   Foreword
  748.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  749.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
  750.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  751.    wt: 3:   F. The student teacher tutor feedback loop
  752.    wt: 3:   C. Domino effect of being careful
  753.    wt: 3:   B. Domino effect of errors
  754.    wt: 3:   How to Build Skills and Confidence
  755.    wt: 3:   Appendix A Calculus with Proofs for Keen or Gifted
  756.    wt: 2:   Appendix 2 primary school Arithmetic 01
  757.    wt: 2:   Appendix 1 primary and preschool mathematic
  758.    wt: 2:   K LAMP Musings Science Education
  759.    wt: 2:   J LAMP Introduction Extrinsic Origins
  760.    wt: 2:   I LAMP Introduction Study Habits
  761.    wt: 2:   H LAMP Introduction Instructional Concepts
  762.    wt: 2:   G LAMP Introduction Problem Solving Skills
  763.    wt: 2:   F LAMP Introduction Prerequisites
  764.    wt: 2:   E LAMP Introduction Modern Mathematics
  765.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  766.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  767.    wt: 2:   A Introduction Objectives
  768.    wt: 2:   Skills Chapter 5 Calculus
  769.    wt: 2:   Ramblings Extrinsic numbers theory
  770.    wt: 2:   Skills Chapter 0 Introduction
  771.    wt: 2:   11 pure mathematics
  772.    wt: 2:   10 statistics
  773.    wt: 2:   9 combinatorics probability sets
  774.    wt: 2:   8 analytic geometry etc
  775.    wt: 2:   7 logic review and decimals an odd combination
  776.    wt: 2:   5 logarithms and exponentials etc
  777.    wt: 2:   4 algebra
  778.    wt: 2:   3 Euclidean Geometry Leanly
  779.    wt: 2:   2 arithmetic with signed numbers
  780.    wt: 2:   1 arithmetic with unsigned numbers
  781.    wt: 2:   website reviews
  782.    wt: 2:   three goals to set for students
  783.    wt: 2:   Teach the teachers plus goals
  784.    wt: 2:   permissions for teachers
  785.    wt: 2:   Math Ed if it must be short make it lean effective
  786.    wt: 2:   activities for students
  787.    wt: 2:   Mathematics Education Professors
  788.    wt: 2:   teacher certification
  789.    wt: 2:   what should be learnt and When
  790.    wt: 2:   Postscript 2007 01 10
  791.    wt: 2:   Secondary Two Mathematics
  792.    wt: 2:   teaching tips
  793.    wt: 2:   Operational Viewpoint to Value
  794.    wt: 2:   formal or informal peer review
  795.    wt: 2:   Theory of Knowledge
  796.    wt: 2:   Different Kinds of Reasoning in maths
  797.    wt: 2:   three kinds of reason in mathematics
  798.    wt: 2:   Four ways to improve education reform
  799.    wt: 2:   How to be a better instructor
  800.    wt: 2:   need for a mixed mathematics curriculum
  801.    wt: 2:   Leaner mathematics curriculum
  802.    wt: 2:   Prequel In For A Penny In For A Pound
  803.    wt: 2:   education an empirical art
  804.    wt: 2:   fairness and inductive principles for instruction
  805.    wt: 2:   words for mathematics instructor
  806.    wt: 2:   liens
  807.    wt: 2:   problemes algebre et arithmetique
  808.    wt: 2:   Trois Notions qui menent a algebre
  809.    wt: 2:   deux definitions pour variable
  810.    wt: 2:   4 Energy Power Heat09
  811.    wt: 2:   3 Energy Power Heat08
  812.    wt: 2:   2 Energy Power Heat07
  813.    wt: 2:   E Energy Power05
  814.    wt: 2:   D Energy Power04
  815.    wt: 2:   C Energy Power03
  816.    wt: 2:   B Energy Power02
  817.    wt: 2:   A Energy Power01
  818.    wt: 2:   1 Conductance Resistance Duality01
  819.    wt: 2:   F Wire Resistance Calculation04
  820.    wt: 2:   E Wire Resistance Calculation03
  821.    wt: 2:   C Wire Resistance Calculation01
  822.    wt: 2:   B Wire Resistance Qualitative02
  823.    wt: 2:   A Wire Resistance Qualitative01
  824.    wt: 2:   3 Like resistors in parallel
  825.    wt: 2:   2 Unlike resistors in parallel01
  826.    wt: 2:   Home Tutoring and Home Schooling
  827.    wt: 2:   20 Interchanging coordinates a reflection
  828.    wt: 2:   15 Sign analysis of functions
  829.    wt: 2:   10 Interval Notation
  830.    wt: 2:   9 Set theory term relation possible origins
  831.    wt: 2:   7 Functions with finite domains
  832.    wt: 2:   5 Function notation for geometric transformations
  833.    wt: 2:   4 Function notation in and beyond mathematics
  834.    wt: 2:   3 Formula or function graphing exercise
  835.    wt: 2:   A Quadratics Summary
  836.    wt: 2:   8 quadratics backward use of various formulas
  837.    wt: 2:   6 quadratics numerical approach
  838.    wt: 2:   4 quadratics difference of two squares
  839.    wt: 2:   3 quadratics factoring by inspection
  840.    wt: 2:   10 Exponential Growth and Decay Models
  841.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  842.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  843.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  844.    wt: 2:   5 Natural Logarithm Calculator Exercises
  845.    wt: 2:   3 Natural Logarithms and Exponentials Basic Properties
  846.    wt: 2:   2 Square Root Simplification a prequel
  847.    wt: 2:   7 Links Lessons Elsewhere
  848.    wt: 2:   6 Polynomial Operations and Equivalent Computation Rules
  849.    wt: 2:   Rewriting algebraic substitution as function substitutions
  850.    wt: 2:   31 basic secant cosecant cotangent trig identities
  851.    wt: 2:   29 secant cosecant and cotangent for acute angles
  852.    wt: 2:   25 tangent double angle formula Slope connection
  853.    wt: 2:   24 tangent Angle Difference Formula
  854.    wt: 2:   21 sine and cosine Half Angle Formulas
  855.    wt: 2:   20 sine and cosine Double Angle Formulas
  856.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  857.    wt: 2:   17G Pythagorean Theorem Converse
  858.    wt: 2:   17E Trig Formulas for dot and cross Products
  859.    wt: 2:   17D cis formulas for sine cosines and tangent
  860.    wt: 2:   17C sine and cosine double triple angle formulas
  861.    wt: 2:   17B sine cosine Angle Sum Formulas via cis
  862.    wt: 2:   17A The complex number valued trig function cis
  863.    wt: 2:   15 sine cosine Complementary Angle Relations
  864.    wt: 2:   14 cosine even and sine and tangent are odd
  865.    wt: 2:   11 tangent function undefined when terminal side vertical
  866.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  867.    wt: 2:   7 Translations Rotations Reflections Dilatations
  868.    wt: 2:   4 Similarity Definition with Coordinate
  869.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  870.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  871.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  872.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  873.    wt: 2:   6 GCD from Prime
  874.    wt: 2:   5 Common Divisors 60 45 via Prime
  875.    wt: 2:   LCM 60 45 Avoid List Method Use Prime
  876.    wt: 2:   12 GCD 2700 288 via Prime
  877.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
  878.    wt: 2:   4 Counting with Trees Product Rule Take I
  879.    wt: 2:   3 Counting with Tables and Trees II
  880.    wt: 2:   1 Counting and Counting Methods I
  881.    wt: 2:   10 dividing signed numbers
  882.    wt: 2:   9 subtracting signed numbers
  883.    wt: 2:   8 multiplying signed numbers
  884.    wt: 2:   7 negative and additive inverse
  885.    wt: 2:   4 signed coordinates for regions in space
  886.    wt: 2:   2 signed and unsigned numbers as coordinates
  887.    wt: 2:   7 Converting or Changing Units
  888.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  889.    wt: 2:   4 Fractions with Units
  890.    wt: 2:   3 Multiplying Units and Numbers
  891.    wt: 2:   2 Equality and Units
  892.    wt: 2:   1 Addition and Subtraction with Units
  893.    wt: 2:   D Remainders Modulo 11 Pair Rule
  894.    wt: 2:   B Integer Long Division Multiple Choices
  895.    wt: 2:   A Associative Law Theorectical Note
  896.    wt: 2:   13 Subtraction with Additive Inverse
  897.    wt: 2:   10 Integer Multiplication Formulas
  898.    wt: 2:   9 Multiplying Integers
  899.    wt: 2:   5 Zero Movement and Additive Inverses
  900.    wt: 2:   4 Adding Movements wiht opposite directions
  901.    wt: 2:   3 Adding Movements with same direction
  902.    wt: 2:   1 Integers as Coordinates
  903.    wt: 2:   A Decimals Modular and Remainder Arithmetic
  904.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
  905.    wt: 2:   23 Remainder Arithmetic Modulo 2
  906.    wt: 2:   21 Remainder Arithmetic Modulo 3
  907.    wt: 2:   5 Remainder Arithmetic Modulo 5
  908.    wt: 2:   4 Remainder Arithmetic Modulo 10 in general
  909.    wt: 2:   3 Remainder Arithmetic Modulos 10 more still
  910.    wt: 2:   1 Remainder Arithmetic Modulo 10
  911.    wt: 2:   19 video Prime Factorization Unique
  912.    wt: 2:   18 video Count Factors given Prime Factorization
  913.    wt: 2:   17 Identify and Count Factors using Primes
  914.    wt: 2:   12 LCD GCD and LCM using Primes
  915.    wt: 2:   11 Efficient Square Rule Use
  916.    wt: 2:   10 video Prime Factorization upto 23 squared
  917.    wt: 2:   9 video Prime Factorization upto 19 squared
  918.    wt: 2:   8 video Prime Factorization upto 19
  919.    wt: 2:   7 Calculator Usage Notes and Cautions
  920.    wt: 2:   5 Prime Factorization and a Square Rule
  921.    wt: 2:   4 video Prime Factorization Introduction
  922.    wt: 2:   3 video Primes and Composites from 9 times table
  923.    wt: 2:   1 video how Products are bigger than factor
  924.    wt: 2:   Long Division Backwards more
  925.    wt: 2:   Long Division Backward
  926.    wt: 2:   Division with Counts and Length
  927.    wt: 2:   Video Power Notation in Decimal Expansion
  928.    wt: 2:   Subtraction Another Video Lesson
  929.    wt: 2:   Appendix 1 Counting Revisited 15 minute video
  930.    wt: 2:   1 Place Value in Three Digit Whole Numbers
  931.    wt: 2:   About folder contents
  932.    wt: 2:   Postscript One Sided and Intermediate Value Theorems
  933.    wt: 2:   PostScript For and Against Decimal Perspectives
  934.    wt: 2:   Postscript More on Better Performance
  935.    wt: 2:   Postscript For Better Performance
  936.    wt: 2:   Appendix E. How To Study Mathematics and Why
  937.    wt: 2:   Appendix D. What to do in School and Why
  938.    wt: 2:   Appendix C. How to Read
  939.    wt: 2:   Appendix B. How To Learn
  940.    wt: 2:   Appendix A. Reading Guide For Next Appendices
  941.    wt: 2:   Chapter 31 Direct and Indirect Reason
  942.    wt: 2:   Chapter 30 Truth Tables
  943.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  944.    wt: 2:   Chapter 28 Occurrence Tables
  945.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  946.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  947.    wt: 2:   Chapter 23. Notation For Sums
  948.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  949.    wt: 2:   Chapter 21. Third Reading Guide
  950.    wt: 2:   Chapter 20. Degrees and Radians
  951.    wt: 2:   Chapter 19. Functions and Sets
  952.    wt: 2:   Chapter 18. Rules for Algebra
  953.    wt: 2:   Chapter 15. Solving Linear Equations
  954.    wt: 2:   Chapter 13. Second Reading Guide
  955.    wt: 2:   Chapter 12. Shorthand Usage Guide
  956.    wt: 2:   Chapter 11. Why Shorthand
  957.    wt: 2:   Chapter 10 Describing and Changing Calculations
  958.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  959.    wt: 2:   Chapter 8 Three Skills For Algebra
  960.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  961.    wt: 2:   Chapter 10 Transition
  962.    wt: 2:   Chapter 7 Two Treatments of Geometry
  963.    wt: 2:   Foreword
  964.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  965.    wt: 2:   Postscript B More on Story Telling and Reason
  966.    wt: 2:   Chapter 20 Shorthand Symbols as Pronouns
  967.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  968.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  969.    wt: 2:   Chapter 10 Responsibility
  970.    wt: 2:   Chapter 8 Change of Language
  971.    wt: 2:   Chapter 7 Longer Chains of Reason
  972.    wt: 2:   Three Remarks
  973.    wt: 2:   Foreword
  974.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  975.    wt: 2:   S Adding words to algebra
  976.    wt: 2:   R Why Learn Mathematics Skills
  977.    wt: 2:   O On Learning Mathematics and Science
  978.    wt: 2:   N Mathematics Prepare for College Studies
  979.    wt: 2:   M Words to extend arithmetic
  980.    wt: 2:   L Skills with take home value
  981.    wt: 2:   N Improving Marks on Tests and Finals
  982.    wt: 2:   J. More on written work and showing skill
  983.    wt: 2:   I. Logic and language skills
  984.    wt: 2:   H Jigsaw puzzles and problem solving
  985.    wt: 2:   G. Written work formats for developing and showing skill
  986.    wt: 2:   E. When and how to correct errors
  987.    wt: 2:   D. Check work a must with a caution
  988.    wt: 2:   A. Skill has to be seen to believed
  989.    wt: 2:   Chapter 8 Skipped Topics and Why
  990.    wt: 2:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  991.    wt: 2:   Chapter 4 Logic for Reading Writing and Geometry etc
  992.    wt: 2:   Chapter 2 Why Sets
  993.    wt: 2:   Chapter 1 Arithmetic
  994.    wt: 2:   Primary and Secondary Skills and Practices with Take Home Value
  995.    wt: 2:   7 Games and Activities for Instruction
  996.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  997.    wt: 2:   4 Money Matters Saving Earning Buying Selling and Budgets
  998.    wt: 2:   3 Telling Tracking Time Temporal and More Place Sense
  999.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  1000.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  1001.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  1002.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  1003.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  1004.    wt: 2:   Talking pdf files for online lessons a webvideo alternative
  1005.    wt: 1:   Skills Chapter 4 Logic
  1006.    wt: 1:   Ramblings Introduction Algebra Essay
  1007.    wt: 1:   Skills Chapter 3 Algebra
  1008.    wt: 1:   Skills Chapter 2 Geometry
  1009.    wt: 1:   Skills Chapter 1 Arithmetic
  1010.    wt: 1:   why bother
  1011.    wt: 1:   which way to go
  1012.    wt: 1:   site origins
  1013.    wt: 1:   site eurekas
  1014.    wt: 1:   About site lesson plans
  1015.    wt: 1:   key notes and themes
  1016.    wt: 1:   modern education
  1017.    wt: 1:   learning takes time
  1018.    wt: 1:   grouping students according to ability
  1019.    wt: 1:   mathematics in context
  1020.    wt: 1:   Education Reform Inconsistencies
  1021.    wt: 1:   five decades make a difference
  1022.    wt: 1:   Maps Plans Drawings
  1023.    wt: 1:   how letters appear
  1024.    wt: 1:   Secondary Three Mathematics
  1025.    wt: 1:   Secondary One Mathematics
  1026.    wt: 1:   talk the algebra talk
  1027.    wt: 1:   three difficulties
  1028.    wt: 1:   What to Tell Students
  1029.    wt: 1:   mathematics curriculum shifts
  1030.    wt: 1:   geometric implications for algebra
  1031.    wt: 1:   teaching tutoring algebraic reason
  1032.    wt: 1:   Lessening Algebra Difficulties
  1033.    wt: 1:   the trouble with algebra
  1034.    wt: 1:   three goals for Mathematics Education
  1035.    wt: 1:   05 13 OldSiteEntrancePage
  1036.    wt: 1:   04 29 New Mathematics Curriculum
  1037.    wt: 1:   04 25 when to stop or suspend mathemat
  1038.    wt: 1:   02 21 words for teachers
  1039.    wt: 1:   02 20 mathematics education references
  1040.    wt: 1:   three aims for mathematics students
  1041.    wt: 1:   standards for course material
  1042.    wt: 1:   mathematics instruction in general
  1043.    wt: 1:   Education in mathematics science and technology
  1044.    wt: 1:   cultivating intelligence
  1045.    wt: 1:   problemes responses
  1046.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  1047.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  1048.    wt: 1:   23 Inverse Functions
  1049.    wt: 1:   22 Square Root function graphically
  1050.    wt: 1:   19 Horizontal line rule and method
  1051.    wt: 1:   18 Vertical Line Rule and Method
  1052.    wt: 1:   17 Function maxima minima and their location
  1053.    wt: 1:   14 Surjections Injections Bijections
  1054.    wt: 1:   13 From one to one to many to one
  1055.    wt: 1:   12 Function Domain Recognition Exercises
  1056.    wt: 1:   11 Function Domain Range Source and Targets
  1057.    wt: 1:   10 quadratic exercises
  1058.    wt: 1:   9 quadratics physical and further context
  1059.    wt: 1:   7 quadratic formulla derivation
  1060.    wt: 1:   5 quadratics completing the square
  1061.    wt: 1:   2 quadratics graphing in general
  1062.    wt: 1:   1 quadratics graphing exercises
  1063.    wt: 1:   11 Growth and Decay in Biology
  1064.    wt: 1:   8 Notes for instructors or tutors
  1065.    wt: 1:   5 Polynomials Long division Nonlinear divisor
  1066.    wt: 1:   4 Polynomials Long division linear divisor
  1067.    wt: 1:   3 Polynomials Multiplication Addition
  1068.    wt: 1:   2 Column Multiplication Method
  1069.    wt: 1:   1 Polynomials Distributive Law
  1070.    wt: 1:   5 Square Roots with primes more still
  1071.    wt: 1:   4 Square Roots with primes more
  1072.    wt: 1:   2 Square Roots with Prime
  1073.    wt: 1:   1 Squares and Square Roots Introduction
  1074.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  1075.    wt: 1:   4 LCM of 8 and 10 via Prime
  1076.    wt: 1:   2 Least Common Multiple LCM intro via list method
  1077.    wt: 1:   11 What are real lengths and numbers
  1078.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  1079.    wt: 1:   11 Place Value SI Standard International way
  1080.    wt: 1:   Exact Arithmetic Wholes and Fractions
  1081.    wt: 1:   Formula Evaluation how to show work
  1082.    wt: 1:   Expression Evaluation how to show work
  1083.    wt: 1:   The 20 Times Table
  1084.    wt: 1:   The 12 Times Table Visually
  1085.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  1086.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  1087.    wt: 1:   Postscript What is a Variable
  1088.    wt: 1:   Solutions For Arithmetic Exercises
  1089.    wt: 1:   Annotated Links to Material Elsehwere
  1090.    wt: 1:   Postscript B Mathematics Education References
  1091.    wt: 1:   Postscript A Three Remarks
  1092.    wt: 1:   Chapter 12 Four Phases
  1093.    wt: 1:   Chapter 11 Elementary Instruction
  1094.    wt: 1:   Chapter 9 The Two Ends
  1095.    wt: 1:   Chapter 8 Modern Instruction
  1096.    wt: 1:   Chapter 5 Four References
  1097.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  1098.    wt: 1:   Chapter 3 Algebra Difficulties
  1099.    wt: 1:   Chapter 2 For and Against Mathematics
  1100.    wt: 1:   Chapter 1 Introduction
  1101.    wt: 1:   Postscript C Consistency as a Tool for Reason
  1102.    wt: 1:   Postscript A Story Telling
  1103.    wt: 1:   Chapter 24 Direct and Indirect Reason
  1104.    wt: 1:   Chapter 23 Truth Tables
  1105.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  1106.    wt: 1:   Chapter 21 Occurrence Tables
  1107.    wt: 1:   Chapter 19 What is in chapters 20 to 24
  1108.    wt: 1:   Chapter 18 Sense and Knowledge
  1109.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  1110.    wt: 1:   Chapter 15 Objective Processes
  1111.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  1112.    wt: 1:   Chapter 11 Accidental Patterns
  1113.    wt: 1:   Chapter 9 What is in Chapters 10 to 18
  1114.    wt: 1:   Chapter 5 Deception
  1115.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  1116.    wt: 1:   Chapter 3 What is in chapters 4 to 8
  1117.    wt: 1:   Chapter 2 Skill Development
  1118.    wt: 1:   Chapter 1 Introduction
  1119.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  1120.    wt: 1:   H more Routine to non routine problem solving
  1121.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  1122.    wt: 1:   Implementation Notes
  1123.    wt: 1:   More Algebra and Slope based Calculus Preview
  1124.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  1125.    wt: 1:   Which Way To Go
  1126.    wt: 1:   Road Safety Questions
  1127.    wt: 1:   The Math Forum and Site Content
  1128.    wt: 1:   Site Reviews
  1129.    wt: 13:   Volume of Solid by Cross Sections Lesson
  1130.    wt: 12:   Example 1 volume of a pyramid
  1131.    wt: 11:   Example 2 volume of a cone

Teachers, Tutors, Parents: Site material offers better or best practices for mathematics skill building - simpler than expected and comprehensive. Your duty is to study them alone or with help. Start now.

Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.


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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity
Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards
More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers
Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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